Question

The standard form of a linear equation is Ax plus By = C. If B = 0 and A and C are positive, which best describes the graph of this equation?

the graph is a vertical line
the graph a horizontal line
The graph is a line with a positive slope
The graph is a line with a negative slope

Answer 1

The answer is a straight vertical line.

Answer 2

Answer:

The graph is a vertical line

Step-by-step explanation:

The standard form of a linear equation is

$Ax+By=C$

In this case, $B=0$, A and C are positive. So, the linear equation is

$Ax=C$

$x=\frac{C}{A}$

Where the fraction is positive.

Notice that the equation has the form $x=k$ where $k$ is a real number. This form represents a vertical line which passes through $k$.

Therefore, the graph that best described $x=\frac{C}{A}$ is a vertical line, because it only has x-variable.